A Hierarchical Clustering Technique as Basis of Discrete Structure Formation

Details A Hierarchical Clustering Technique as Basis of Discrete Structure Formation A Hierarchical Clustering Technique as Basis of Discrete Structure Formation

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.521l&link_type=abstract

Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:

Astronomy and Astrophysics

Astrophysics

Scientific paper

The presence of observed distinct structure scales in the universe may be understood in terms of a time independent, quantized scheme. With regard to a principle of minimum interaction a hierarchical clustering procedure is performed on the level of dimensionless numbers, determining systematically a sequence of inhomogeneities without referring to any specific force of interaction. In particular, upon evaluation of observable physical quantities, it is shown that any inhomogeneity as a bound system is subject to scale independent invariants, relating their mass and sphere of interaction. Dirac's LNH turns out as a natural consequence for the micro- and macrocosm limits of the hierarchy of discrete structures.

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